Question

288. A train covers a distance of 75 km. in 3 hrs.
How much time will it take to cover a
distance of 200 km?
(A) 12 hrs. (B) 16 hrs.
(C) 10 hrs. (D) 8 hrs.​

Answer 1

Answer:

8 hours

Step-by-step explanation:

75km = 3hours

So, 1km = 3/75

200km = (3/75) * 200

= 8 hours

Answer 2

Answer:

Train will take 8 hrs. to cover a distance of 200 km.

Step-by-step explanation:

• Speed of an object is defined as the ratio of distance covered by object in a given interval of time.

$speed = \frac{distance}{time}$

• S.I. unit of speed is meter/sec.

Given that:

• Distance covered by train = 75 km
• Time taken to complete this distance = 3 hrs.
• Considering that train is moving with a constant speed, s then,

$speed \: of \: train = \frac{distance \: covered}{time \: taken} \\ = \frac{75}{3} \\ = 25 \:$

• Speed of train is 25 km\hrs.
• Now, time taken by train, t to complete 200 km distance if its speed is 25 km\hrs is given by:

$time \: taken = \frac{distance \: covered}{speed \: of \: train} \\ = \frac{200}{25} \\ = 8 \: hrs.$

• Hence, time taken by train to complete a distance of 200 km with a constant speed of 25 km\hrs. is 8 hrs.