Solveeit Logo

Question

Mathematics Question on Time Speed and Distance

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

A

6.25

B

6.50

C

6.75

D

7.00

Answer

6.25

Explanation

Solution

The correct option is (A): 6.25
Explanation: Let's break down the problem step by step:
The run rate in the first 10 overs was 3.2. The total number of runs scored in the first 10 overs is:
Runs scored=3.2×10=32runs\text{Runs scored} = 3.2 \times 10 = 32 \, \text{runs}
Runs required in the remaining 40 overs
The total target is 282 runs. The remaining runs required after the first 10 overs are:
Remaining runs=28232=250runs\text{Remaining runs} = 282 - 32 = 250 \, \text{runs}
Step 3: Required run rate for the remaining 40 overs
To score 250 runs in the remaining 40 overs, the required run rate (R) is:
R=25040=6.25R = \frac{250}{40} = 6.25