Sarosh can cover a distance in 1hr 45 min by covering $\frac{2}{3}$ of the distance at 8 kmph and the rest at 10 kmph. What is the total distance covered?

12.5 Km

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15 km

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17.5 km

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20 km

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25 km

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Solution

The correct option is B
15 km

Let S be the total distance.

Initial istance covered = $\frac{2 S}{3}$

Remaining istance = $1 - \frac{2 S}{3} = \frac{S}{3}$

$∴ \frac{7}{4} h r = \frac{\frac{2 S}{3}}{8} + \frac{\frac{S}{3}}{10}$

$\Rightarrow \frac{7}{4} = \frac{S}{12} + \frac{S}{30}$

$\Rightarrow$ S = 15 km

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Sarosh can cover a distance in 1hr 45 min by covering 23 of the distance at 8 kmph and the rest at 10 kmph. What is the total distance covered?

The correct option is B 15 km Let S be the total distance. Initial istance covered = 2S3 Remaining istance = 1−2S3=S3 ∴74hr=2S38+S310 ⇒74=S12+S30 ⇒ S = 15 km

Sarosh can cover a distance in 1hr 45 min by covering $\frac{2}{3}$ of the distance at 8 kmph and the rest at 10 kmph. What is the total distance covered?