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###### 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

Two cars ' X ' and ' Y' starts from Delhi to Mumbai. How much time does X take to reach Mumbai ? I The speed of car X is 40% of the speed of' Y'. II ' Y' took 16 hours to reach Mumbai.

 A.   If the question can be answered using statement (II) alone but not statement (I) alone. B.   If the question can be answered using statement (I) alone but not statement (II) alone. C.   If the question can be answered using both the statements together, but cant be answered using either statement alone. D.   If the question can be answered using either statement alone.

Correct Answer : C. If the question can be answered using both the statements together, but cant be answered using either statement alone.

Description :
Both the statements are required to answer the question.
suppose the distance between Delhi to Mumbai is D km and speed of Y is V kmh-1
∴ D/V = 16
From (I),
speed of X is X = 40/100 x V = 2V/5
So time taken = D/(2V/5) = D/1 x 5/2V
∴ 5/2 D/V = 5/2 x 16 = 40 hours. View Answer 50/50 Workspace Report Discuss

Question 2

A train starts with a speed of 40 km/h with its speed increasing every hour by 10 km/h. In how many hours will it cover 185 km?

 A.   3 (1/8) h B.   3 (5/6) h C.   3 (1/4) h D.   3 (1/2) h

Question 3

A is twice as fast as B and B is thrice as fast as C is. The journey covered by C in 54 min will be covered by B in :

 A.   18 min B.   38 min. C.   27 min D.   9 min.

Correct Answer : A. 18 min

Description :
Let C's speed = X kmph Then, B's speed = 3X kmph and A's speed = 6X kmph.
Ratio of the speed of A, B and C = 6X : 3X : X = 6 : 3 : 1
Ratio of time taken = 1/6 : 1/3 : 1 = 1 : 2 : 6
If C takes 6 min, then B takes 2 min
If C takes 54 min, then B takes (2/6) x 54 min. = 18 min. View Answer 50/50 Workspace Report Discuss

Question 4

A man covered a distance of 12 km in 90 min by cycle. How much distance will he cover in 3h, if he rides the cycle at a uniform speed?

 A.   27 km B.   36 km C.   24 km D.   30 km

Question 5

A train 150 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?

 A.   7 s B.   None of these C.   11 s D.   10 s

Correct Answer : D. 10 s

Description :
Step 1. Just change speed from km per hour to meter per second.

So 54 km / hour = 54*1000/(60*60)=54*5/18

=15 meter per second.

Step 2. Check train is passing through post or platform, bridge..

In this case, train is passing through telegraph post. So only train length is considered in passing through a telegraph post as length of telegraph post is negligible.

Step 3. Train length =150 meter

In one second, train cover 15 meter distance.

So in 10 second, it cover 150 meter distance and cross the telegraph post. View Answer 50/50 Workspace Report Discuss

Question 6

How many seconds does Puja take to cover a distance of 500 m, if she runs at a speed of 30 km/hr?

 A.   100 sec B.   95 sec C.   82 sec D.   60 sec

Question 7

Distance between Mumbai and London is 7200 km. If the speed of the boing 747 flying between the two places is 901 kph, how much approximate time in hrs will be required to cover the distance?

 A.   10 B.   8 C.   11 D.   9

Question 8

A train is running with the speed of 45 km/hour. What is its speed in meter per second ?

 A.   None of these B.   13.5 C.   12.5 D.   20.5

Question 9

A man crosses a 1.5 Km long bridge in 5 minutes. What is his speed in Km/hr ?

 A.   15 Km/hr B.   16 Km/hr C.   20 Km/hr D.   18 Km/hr

Question 10

Two trains start at the same time from Aligarh and Delhi and proceed towards each other at 16km/hr and 21km/hr respectively, When they meet, it is found that one train has travelled 60 km more than th

 A.   445km B.   450km C.   440km D.   444km

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