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: Here we will find the average of both Rohit and Virat and then will compare the resultant mean and will find accordingly who scored more runs per over. Use the formula of mean is equal to total runs upon the overs taken.

Complete step-by-step answer:
Given that: Rohit made \[42\] runs in $6$ overs.
Therefore, the average of the runs made by Rohit is equal to the total runs made upon the number of overs taken.
Average $=\dfrac{42}{6}$
Average$=7$ runs
So on an average, Rohit made $7$ runs per over. ………………..(a)
Similarly, find the average runs made by Virat per over –
Therefore, the average of the runs made by Virat is equal to the total runs made upon the number of overs taken.
Given that - Virat made $63$ runs in $7$overs
Therefore,
Average$=\dfrac{63}{9}$
Average$=7$ runs
So on an average, Virat made $7$ runs per over. ………………..(b)
Now, from the equations (a) and (b)
As the average runs made per over are the same. We can say that – both Rohit and Virat scored equal runs per over.
Hence, the required solution – Rohit and Virat made equal runs per over.

Note: Be careful while understanding the word statements, read it twice, do simplification and solve using the mathematical operations. Rest goes well in these types of word problems.