### Time and Distance Questions and Answers

#### Article

Q 1

In covering a distance,the speeds of A & B are in the ratio of 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is

A)

2 hours

B)

2.5 hours

C)

1.5 hours

D)

3 hours

Correct Option - A

Explanation

Speed and Time are inversely proportional.

Time taken by A and B will be the ratio 4:3.

Let the time taken by A and B be 4x hours and 3x hours.

4x-3x = 1/2

x = 1/2

4x=2 hours

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Q 2

Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success. Rohit once bought a Ferrari. It could go 4 times as fast as Mohan’s old Mercedes. If the speed of Mohan’s Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time, in hours, taken by Rohit to drive that distance.

A)

20.72

B)

3.5

C)

238.25

D)

6.18

Correct Option - B

Explanation

Speed of Rohit's Ferrari

= 35*4 = 140 kmph

Time taken

= 490/140

= 3.5 hrs

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Q 3

Rahul and Neeraj start at the same time from points A and B and travel towards B and A respectively. After they meet, Rahul takes 40 minutes to reach B and Neeraj takes 1.5 hours to reach A. If Rahul's speed is 36 kmph, find Neeraj's speed.

A)

54 kmph

B)

30 kmph

C)

24 kmph

D)

48 kmph

Correct Option - C

Explanation

If two people P and Q start at the same time from points A and B towards each other and after crossing each other, they take x seconds and y seconds to reach B and A respectively,

P's speed:Q's speed = √y:√x

Rahul's speed:Neeraj's speed

= √(1.5*60):√40

= √9:√4

= 3:2

Neeraj's speed

= 36*2/3

= 24 kmph

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Q 4

A man travels a distance of 2 km by walking at a speed of 6 km/hr. He returns back at a speed of 4 km/hr. What is his average speed?

A)

4.5 kmph

B)

4.8 kmph

C)

5 kmph

D)

5.1 kmph

Correct Option - B

Explanation

Time taken for the forward journey

= 2/6 = (1/3) hrs

Time taken for the return journey

= 2/4 = (1/2) hrs

Total time = 5/6 hrs

Average speed = 4/(5/6) = 24/5 = 4.8kmph

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Q 5

A person walking at 5/6th of his usual speed is 40 minutes late to his office. What is his usual travel time to his office?

A)

3 hours 20 minutes

B)

3 hours 15 minutes

C)

3 hours 30 minutes

D)

3 hours

Correct Option - A

Explanation

Let his usual speed be x kmph,

the distance to his office be y km and

his usual travel time be t hrs.

y = xt = (5/6)x * (t+(40/60))

Solving the equation,

t = 3.33 hrs = 3 hrs 20 minutes

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Q 6

Manoj drove his car at a speed of 120 kmph for the first 2 hours and then at a speed of 100 kmph for the next half an hour. Find the distance covered by him during the entire journey.

A)

300 km

B)

290 km

C)

250 km

D)

240 km

Correct Option - B

Explanation

Total distance = (120*2) + (100*(1/2)) = 290 km

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Q 7

Nitin and Bhavin, 110 km apart, start cycling towards each other. If Nitin covers a distance of 6 km to Bhavin's 5 km, how far will Nitin have travelled when they meet?

A)

66 km

B)

55 km

C)

50 km

D)

60 km

Correct Option - D

Explanation

Nitin covers 6 km to Bhavin's 5 km.

When they meet,

if Nitin travelled a distance of 6x km, Bhavin would have travelled a distance of 5x km

6x+5x=110

x=10

Distance travelled by Nitin

6x=60km