Question

Rohan participated in a race. He needs to cover the distance of 560 m in the race. In each step, he covered 0.5 m. After covering 347 m he fell. How many steps were left to complete the race?

Answer 1

Hint: Start with finding out the total number of steps required to complete the race i.e. to cover the whole 560 m. Then find the steps taken by Rohan to cover the distance of 347 m i.e. before he fell. Finally subtract the taken steps from the total number of required steps to find the answer.

Complete step-by-step answer:
According to the question, the total distance required to be covered is 560 m. And Rohan covered 0.5 m in each step.
Thus the number of steps required to complete the race is given as:
$ \Rightarrow {\text{ Steps Required }} = \dfrac{{{\text{560 m}}}}{{{\text{0}}{\text{.5 m}}}} = 1120{\text{ }}.....{\text{(1)}}$
Now it is given that after covering the distance of 347 m he fell. So the total number of steps taken by him, before he fell, is given as:
 $ \Rightarrow {\text{ Steps Taken }} = \dfrac{{{\text{347 m}}}}{{{\text{0}}{\text{.5 m}}}} = 694{\text{ }}.....{\text{(2)}}$
The number of steps left to complete the test can be calculated by subtracting the steps taken from the required number of steps.
\[ \Rightarrow {\text{ Steps Left }} = {\text{ Steps Required }} - {\text{ Steps Taken}}\]
Putting values from equation (1) and (2), we’ll get:
$ \Rightarrow {\text{ Steps Left }} = {\text{ }}1120 - 694 = 426$

Therefore, the number of steps that were left to complete the test is 426.

Note: The problem can be solved using an alternative approach. In this, instead of finding the difference between the numbers of steps, we can find the distance left to complete the race.
$ \Rightarrow {\text{ Distance Left }} = 560{\text{ m}} - 347{\text{ m}} = 213{\text{ m}}$
Since Rohan covers 0.5 m in one step, the remaining distance would’ve been covered in $\dfrac{{213}}{{0.5}} = 426$ steps. And hence the number of steps left to be taken is 426.