Quiz Discussion

A man travels the distance of his journey \(\frac{3}{4}\) by bus, \(\frac{1}{6} \)by rickshaw, and remaining 2 km on foot. The total distance traveled by the man is :

• 1] 12 km
• 2] 18 km
• 3] 20 km
• 4] 24 km

Roorkee express normally reaches its destination at 50 km/h in 30 hours. Find the speed at which it travels to reduce the time by 10 hours?

• 1] 38 km/h
• 2] 76 km/h
• 3] 75 km/h
• 4] 60 km/h

Two boats go downstream from point X to Y. The faster boat covers the distance from X to Y, 1.5 times as fast as slower boat. It is known that for every hour slower boat lags behinds the faster boat by 8 km. however, if they go upstream, then the faster boat covers the distance from Y to X in half the time as the slower boat. Find the speed of the faster boat in still water?

• 1] 12 kmph
• 2] 20 kmph
• 3] 24 kmph
• 4] 25 kmph
• 5] None of these

Two ports A and B are 300 km apart. Two ships leave A for B such that the second leaves 8 hours after the first. The ships arrive at B simultaneously. Find the time the slower ship spent on the trip if the speed of one of them is 10 km/h higher than that of the other.

• 1] 25 hours
• 2] 20 hours
• 3] 15 hours
• 4] 20 hours
• 5] 24 hours

A man travels 50 km at speed 25 km/hr and next 40 km at 20 km/hr and there after travel 90 km at 15 km/hr. His average speed is :

• 1] 18 km/hr
• 2] 25 km/hr
• 3] 20 km/hr
• 4] 15 km/hr

Sabarmati express takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is :

• 1] 132 m
• 2] 100 m
• 3] 80 m
• 4] 90 m

A man can walk uphill at the rate of \(2\frac{1}{2}\) km/hr and downhill at the rate of \(3\frac{1}{4}\) km/hr. If the total time required to walk a certain distance up the hill and return to the starting point was 4 hr 36 min, then what was the distance walked up the hill by the man ?

• 1]

  4 km

• 2]

  \(4\frac{1}{2} \)km

• 3]

  \(5\frac{1}{2}\) km

• 4]

  \(6\frac{1}{2}\)km

A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speed is :

• 1] 1 : 16
• 2] 4 : 1
• 3] 2 : 1
• 4] 1 : 4

Train X leaves New York at 1 am and travels east at a constant speed of x mph. If train Z leaves New York at 2 am and travels east, at what constant rate of speed will train Z have to travel in order to catch train X at exactly 5.30 am ?

• 1]

  \(\frac{5}{6}x\)

• 2]

  \(\frac{9}{8}x\)

• 3]

  \(\frac{6}{5}x\)

• 4]

  \(\frac{9}{7}x\)

• 5]

  \(\frac{3}{2}x\)

A walk at a uniform rate of 4 km an hour; and 4 hr after his start, B bicycles after him at the uniform rate of 10 km an hour. How far from the starting point will B catch A ?

• 1] 16.7 km
• 2] 18.6 km
• 3] 21.5 km
• 4] 26.7 km