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Solution :

As given in the figure below PR and SQ are the Speed-time graph for given two cars with initial speeds 52 km `h^(-1)` and 3km`h^(-1)` respectively. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/NCERT_SCI_IX_C08_E01_032_S01.png" width="80%"> <br> Distance Travelled by first car before coming to rest = Area of `Delta` OPR <br> = (1/2)`xxORxxOP` <br> = `(1//2)xx5sxx52 kmh^(-1)` <br> = `(1//2)xx5xx(52xx1000)//3600)` m <br> = ` (1//2)xx5xx(130//9)` m <br> = ` 325//9` m <br> = 36.11 m <br> Distance Travelled by second car before coming to rest = Area of `Delta` OSQ <br> = ` (1//2)xxOQxxOS` <br> = ` (1//2) xx10sxx3 kmh^(-1)` <br> = `(1//2) xx10xx(3xx1000)//3600)` m <br> = `(1//2) xx10xx(5//6)` m <br> = ` 5xx(5//6)` m <br> = `25//6` m <br> = 4.16 m