Question

The total distance an object travels varies directly with the length of time it travels. If an object travels 32 meters in 18 seconds, how long will it take to travel 80 meters? A. 40 seconds B. 42 seconds C. 45 seconds D. 48 seconds

Answer 1

(80 meters)* (18 seconds/ 32 meters)= 45 seconds

Note that the unit "meter" cancels out so you end up with your answer.

The final answer is C. 45 seconds.

Answer 2

Explanation:

It is given that, the total distance an object travels varies directly with the length of time it travels.

`d\propto t`

If an object travels 32 meters in 18 seconds so,

`32= 18k`.....(1) (k is a constant)

If distance travelled is 80 meters, then the time taken is t say.

`80= kt`.....(2)

On solving equation (1) and (2), we get the value of t as,

t = 45 seconds

Hence, this is the required solution.