###### Formulae

1. Speed, Time and Distance

Speed = (Distance/Time)

Time = (Distance/Speed)

Distance = (Speed x Time).

2. km per hr to m per sec conversion x km/hr = (x*5/18) m/sec.

3. m/sec to km/hr conversion x m/sec = (x *18/5) km/hr.

###### Exercise : Time and Distance MCQ Questions and Answers

Question 1

A car moves at the speed of 80km/hr. What is the speed of the car in metres per second?

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**Correct Answer : C. 200/9 m/sec **

**Description :**

No answer description available for this question. Let us discuss.

Question 2

Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ?

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B. |

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**Correct Answer : A. 4 3/8 km **

**Description :**

Relative Speed = 5 ¾ - 4 ½ = 1 ¼

Time = 3 ½ h.

Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.

Question 3

To get to a business meeting, John drove m miles in h hours, and arrived 1/2 hour early. At what rate should he have driven to arrive exactly on time?

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**Correct Answer : B. 2m/(2h-1) **

**Description :**

No answer description available for this question. Let us discuss.

Question 4

A train 575 m long crosses a tunnel of length 325 in 90 sec. What is the speed of the train in kmph.

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**Correct Answer : D. 36 kmph **

**Description :**

Total distance traveled = Length of train + Length of tunnel = 575 + 325 = 90

Time taken to cross the tunnel = 90 sec.

Speed in kmph = distance/time *18/5 = 900/90 * 18/5 = 180/5 = 36 kmph

Question 5

Walking with 4/5 of his usual speed, a man covers a ceratin distance in 30 min more than the time he takes to cover the distance at his usual speed. The time taken by him to cover the distance with us

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**Correct Answer : B. 2 h **

**Description :**

No answer description available for this question. Let us discuss.

Question 6

A man crosses a street 600 m long in 5 minutes. His speed in km. per hour is:

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**Correct Answer : D. 7.2 **

**Description :**

Distance=600m

Time=5 min = 5\times 60 sec

Speed = Distance/Time

⇒ 600/(5×60) m/sec

⇒ 2 m/sec

⇒ 2× 18/5 = 7.2 Km/hr

Question 7

Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach

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**Correct Answer : C. 12 kmph **

**Description :**

Let the distance travelled by x km.

Then, x/10 - x/15 = 2

⇒ 3x − 2x = 60

⇒ x = 60km.

Time taken to travel 60 km at 10 km/hr = ( 60/10 )hrs = 6 hrs.

So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.

∴ Required speed =( 60/5 )kmph. = 12 kmph.

Question 8

Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?

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**Correct Answer : B. 28 min **

**Description :**

Speed Ratio = 1:7/6 = 6:7

Time Ratio = 7:6

1 -------- 7

4 --------- 28 m

Question 9

Faisal walks 325m everyday. How many kilometres will he walk in four weeks?

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**Correct Answer : D. 9.1 **

**Description :**

No answer description available for this question. Let us discuss.

Question 10

A boat running downstreams covers a distance of 30 kms in 2 hours. While coming back the boat takes 6 hours to cover the same distance. If the speed of the current is half that of the boat, what is th

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**Correct Answer : B. 10 kmph **

**Description :**

Let the speed of boat in still water = x kmph

Therefore, Speed of current = x/2 kmph

When boat runs downstream,

30/x + x/2 = 2

= 30x2/3x = 2 = 6x = 60

= x = 60/6 = 10 kmph