Question

.In a 20 over cricket match, India needed 160 runs to win at the rate of 8 runs per over.
In the first 5 overs, they managed to score at the rate of x runs per over. What would be the rate at which they need to score runs (runs per over) in the remaining 15 overs to win the match?

Answer 1

$\large{\red{\underbrace{\red{\overbrace{\text{\dag{\fbox{answer}{\dag}}}}}}}}$

$\Longrightarrow \text{Given :}$

• match of 20 overs = needed runs 160
• run rate of match = 160/20 = 8

$\Longrightarrow \text{to \: find : }$

• if play x run rate for 5 over (5x)
• what is the run rate for less 15 overs ???

$\Longrightarrow \text{answer : }$

${\rightarrow}\sf{\: if \: play \: for \: 5 \: over \: at \: x \: runrate}$

• Score = 5(x) = 5x
• less runs = 160-5x = 5(32-x)
• less over = 15

${\rightarrow} \sf{runrate \: for \: remainnig \: 5 \: overs}$

• runrate = 5(32-x)/15
• = 32-x/3

$\Longrightarrow \text{final \: answer}$

• if play first 5 over at 11 runs so remaining 15 overs runrate is (32-11)/3 = 7

$\large{\underline{}{\fcolorbox{red}{black}{\red{hope \: its \: helpful}}}}$