Question

Rohit made 42 runs in 6 overs and Virat made 63 runs in 7 overs. Who made more runs per over?

Answer 1

Hint:
We are given total runs and number of overs. The person who made maximum runs in fewer overs has made more runs per over. Per over means to find runs made in one over.
Formula used:
Runs per over=\[\dfrac{{Tota{l_{runs}}}}{{Tota{l_{overs}}}}\]

Complete step by step solution:
Given that,
Rohit made 42 runs in 6 overs. So the number of runs he made per over will be
Runs per over=\[\dfrac{{Tota{l_{runs}}}}{{Tota{l_{overs}}}}\]=\[\dfrac{{42}}{6} = 7\]
Rohit made 7 runs per over.
In Virat’s case, he made 63 runs in 7 overs. So the number of runs he made per over will be
Runs per over=\[\dfrac{{Tota{l_{runs}}}}{{Tota{l_{overs}}}}\]=\[\dfrac{{63}}{7} = 9\]
Virat made 9 runs per over.

So we conclude that Virat made more runs per over.

Note:
When we find the amount of any quantity for per means 1, we need a total of required figures. We took over in denominator because we have to find runs per over. Generally, students get confused in finding the correct ratio. So remember the per quantity asked is in the denominator.

Additional information:
1) If it is given runs made per over is x and number of overs is y then total runs made will be
product of x and y.
2) 1 over = 6 balls
3) Runs per over are generally referred to as run rate.