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InfyTQ Time and Distance Quiz 4

Question 1

Time: 00:00:00

After walking at a speed of 5km/hr, Rohan covers a certain distance in 3 hr 45 minutes. How much time will Rohan take to cover the same distance if instead of walking he starts running at a speed of 15 km/hr?

1.2

3.1

2.5

3.4

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Solution: We know, Distance = Speed × Time

3hr 45 min = 15/4 hrs

Distance covered = 5*15/4 = 18.75 km = 19 (approx.)

New Speed =15 km/hr

Time taken = Distance /Speed = 19/15 = 1.2 hrs

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Question 2

Time: 00:00:00

Ajay covers an 800-meter long racing track in 3 minutes. Calculate his speed in km/hr.

1.26

4.44

3.25

2.14

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Solution: We know, Speed = Distance /Time

Ajay’s speed =800/3x60 = 4.44 m/sec

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Question 3

Time: 00:00:00

A captain of a small ship covers a distance of 2000 km in a time span of 60 days and takes rest for about 4 hours a day. If he sails the ship at a speed 5⁄2 times of the previous day and takes rest for 8 hrs, then how long will he take to cross 1250 km?

15.62

14.74

12.35

17.24

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Solution: Prior speed of the ship

= 2000/(60*(24-4))km/h

= 5/3 km/h

New speed = 5/3 * 5/2 km/h = 25/6 km/h

Per day the ship sails for (24-8)= 16 hours

Each day the ship covers = 5*16 Kms = 80 kms

The total time taken for covering 1250 Kms = 1250/80 = 15.62 days

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Question 4

Time: 00:00:00

A boat moving upstream takes 4 hours to reach someplace. When the boat was moving downstream, it takes 2 hours to reach the same distance ‘x’. Calculate the ratio between upstream and downstream speeds of the boat.

4:1

2:5

2:1

3:1

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Speed1 = D1/T1 : Speed2 = D2/T2

since T1= 4 hours and T2= 2 hours

∴S1 = D/4 : S2 = D/2

4S1 = D : 2S2 = D

4S1 : 2S2

2:1

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Question 5

Time: 00:00:00

Rajan along a four-sided path of equal sides at a speed of 15 km/hr, 11km/hr, 12 km/hr, and 10km/hr. Calculate the average speed of Raj along with the whole length of the four-sided path?

10.25

13.26

9.52

11.7

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Solution: Let each side of the four-sided path= a km,

Average speed of Raj = b km/h

so, a/15 + a/10 + a/11 + a/12 =4a/b

225a/660 = 4a/b b = 4a*660/225 = 11.7 km/h

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Question 6

Time: 00:00:00

Kunal covers half of the distance from school to home by running at a speed of 7km/hr., and the remaining half at 3 km/hr. Find the total time taken by Kunal to reach home, if the total distance between the school and home is 16 km?

212.2

214.26

240.23

228.5

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Solution: We know, Time = Distance/Speed

Time is taken by Kunal in the first half = 8/7

Time is taken by Kunal in the second half = 8/3

Total time taken to reach home = {(8/7) + (8/3)} = 80/21

Total Time taken = (80/21)*60 = 228.5 minutes

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Question 7

Time: 00:00:00

Raghav has to cover a distance of 120 km. He drives his car for 50 km at a speed of 40km/hr. Later he drives the next 70 km at 30 km/hr. Calculate his average speed for the whole tour?

25.36

33.51

36.24

28.37

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Solution: Total distance = 120 km

We know, Time= Distance/Speed

Raghav covers the total distance in two different speeds = 40 km/hr & 30 km/hr

Time taken to cover 50 km = 50/40 = 1.25 hours

Time taken to cover 70 km = 70/30 = 2.33 hours

Total time taken = 3.58 hours

Average Speed for the entire trip = 120/3.58 = 33.51 km/hr

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Question 8

Time: 00:00:00

Raghav has to cover a distance of 120 km. He drives his car for 50 km at a speed of 40km/hr. Later he drives the next 70 km at 30 km/hr. Calculate his average speed for the whole tour?

25.36

33.51

36.24

28.37

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Question 9

Time: 00:00:00

Tarun travels a distance of 250 km from Jaipur to Delhi in 3 hours at an average speed of 80km/hr. How long will he take to cover the same distance if his average speed was reduced to 60km/hr?

3.12

2.15

4.16

1.23

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Solution: Total Distance = 250km/hr

Total time is taken when the average speed is 80 km/hr = 3 hours

Total time is taken when the average speed is 60 km/hr

We know, Time = Distance/Speed

Time = 250/60 = 4.16 hours

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Question 10

Time: 00:00:00

There are two trains running between Bangalore and Chennai and the ratio of their speeds is 6:7. If the train2 covers 300 km in 5 hrs, then find the speed of the train1.

29.37

34.23

51.43

52.13

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Solution: The speed of the first train = 6x

Speed of the second train = 7x

According to the question,

Speed = Distance/ Time

2nd train:— speed = 300/5

= 60 km/hr

1st train speed = (60/7)*6 km/hr

= 51.43 km/hr

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