Quantitative Aptitude - Problem On Races - Formula & Concept Quiz

In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

• 1]

  20 m

• 2]

  25 m

• 3]

  22.5 m

• 4]

  9 m

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

• 1]

  40 sec

• 2]

  47 sec

• 3]

  33 sec

• 4]

  None Of These

A runs 1 2/3  times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

• 1]

  200 m

• 2]

  300 m

• 3]

  270 m

• 4]

  160 m

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by

• 1]

  21 m

• 2]

  26 m

• 3]

  28 m

• 4]

  29 m

Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?

• 1]

  6.52

• 2]

  8.14

• 3]

  4.18

• 4]

  5.02

In a 500m race, B gives A a start of 160m.The ratio of the speeds of A and B is 2:3. What was the distance by which the
winner beat the loser?​

• 1]

  B win by 10 metre

• 2]

  A win by 10 metre

• 3]

  B win by 20 metre

• 4]

  A win by 20 metre

A man starts in a boat from A toward B against the stream. After reaching a point M on the way, he throws a rubber ring into the water. He takes 8 minutes from then to reach his destination and the ring exactly A at that moment. If the distance between  A and B is 4 km, then find the speed of boat in still water

• 1]

  15 kmph

• 2]

  12 kmph

• 3]

  30 kmph

• 4]

  45 kmph

Gopal , Ganesh and Giri start from point A and run around a circular path at speed of 10 kmph, 14 kmph and 6 kmph respectively. Gopal & Giri run in the same direction and Ganesh run in the opposite direction. The length of track is 20 km. In how much time will all three of them be together for the first time?

• 1]

  3 hr

• 2]

  4 hr

• 3]

  5 hr

• 4]

  6 hr

In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:

• 1] 18 m
• 2] 20 m
• 3] 27 m
• 4] 9 m

A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

• 1] 5.15 kmph
• 2] 4.14 kmph
• 3] 4.25 kmph
• 4] 4.4 kmph

In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

• 1] 60 m
• 2] 40 m
• 3] 20 m
• 4] 10 m

In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

• 1] 5.4 m
• 2] 4.5 m
• 3] 5 m
• 4] 6 m

At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

• 1] 30 points
• 2] 20 points
• 3] 10 points
• 4] 12 points

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

• 1]

  22.75 m

• 2]

  25 m

• 3]

  19.5 m

• 4]

  m

In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

• 1] 20 m
• 2] 25 m
• 3] 22.5 m
• 4] 9 m

In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:

• 1] 8 points
• 2] 10 points
• 3] 14 points
• 4] 40 points

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

• 1] 40 sec
• 2] 47 sec
• 3] 33 sec
• 4] None of these

A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:

• 1]

  100 m

• 2]

  m

• 3]

  25 m

• 4]

  50 m

In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:

• 1] 86 sec
• 2] 80 sec
• 3] 76 sec
• 4] None of these

A runs 1 2/3 or  times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

• 1] 200 m
• 2] 300 m
• 3] 270 m
• 4] 160 m

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

• 1] 21 m
• 2] 26 m
• 3] 28 m
• 4] 29 m

In a race of 200 m, B can give a start of 10 m to A and C can give a start of 20 m to B. The start that C can give to A in the same race is ?

• 1] 27 m
• 2] 29 m
• 3] 30 m
• 4] 25 m

In a kilometre race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 m, the time taken by A to run 1 kilometre, is ?

• 1] 200 sec
• 2] 205 sec
• 3] 210 sec
• 4] 250 sec

A team played 40 games in a season and won in 24 of them. What percent of games played did the team win ?

• 1] 70%
• 2] 40%
• 3] 60%
• 4] 35%

In a kilometre race, A, B and C are three participants. A can give B start of 50 m and C a start of 69 m. The start which B can allow C, is -

• 1] 17 m
• 2] 18 m
• 3] 19 m
• 4] 20 m

A and B take part in a 100 metres race. A runs at 5 km an hour. A gives B a start of 8 metres and still beats him by 8 seconds. The speed of B is ?

• 1] 4.45 km/hr
• 2] 4.14 km/hr
• 3] 4.15 km/hr
• 4] 4.25 km/hr

Four sisters Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister had Rs. 32. How much money did Suvarna start with ?

• 1] Rs. 60
• 2] Rs. 34
• 3] Rs. 66
• 4] Rs. 28

In a 400 m race, A gives B a start of 5 seconds and beats him by 15 m. In another race of 400 m, A beats B by 7 1/7 seconds. Their respective speed are -

• 1] 6 m/sec, 7 m/sec
• 2] 5 m/sec, 7 m/sec
• 3] 8 m/sec, 7 m/sec
• 4] 9 m/sec, 7 m/sec

In a kilometre race, A beats B by 100 m and B beats C by 150 m. In the same race, by how many metres does A beat C ?

• 1] 225 m
• 2] 235 m
• 3] 240 m
• 4] 250 m

A and B can cover a 200 m race in 22 seconds and 25 seconds respectively. When Av finished the race, then B is at what distance from the finishing line ?

• 1] 24 m
• 2] 30 m
• 3] 48 m
• 4] 54 m

In a 1000 m race, A can beat B by 100 m. In a race of 400 m, B can beat C by 40 m. By how many metres will A beat C in a race of 500 m ?

• 1] 85 m
• 2] 95 m
• 3] 105 m
• 4] 115 m

In a 200 m race, A beats B by 35 m or 7 seconds. A's time over the course is-

• 1] 40 sec
• 2] 47 sec
• 3] 33 sec
• 4] None of these

In a 800 metre race, A defeated B by 15 seconds. If A's speed was 8 km/hr, the speed of B was -

• 1]

  16/27 km/hr

• 2]

  27/16 km/hr

• 3]

   km/hr

• 4]

   km/hr