A car travelling with $\frac{5}{7}$ of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

17 \frac{6}{7}

km/hr

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25 km/hr

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30 km/hr

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35 km/hr

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Solution

The correct option is D 35 km/hr
Time taken = 1 hr 40 min 48 sec = 1 hr $40 \frac{4}{5}$ min= $1 \frac{51}{75}$ hrs= $\frac{126}{75}$ hrs.
Let the actual speed be x km/hr.
Then, $\frac{5}{7} x \times \frac{126}{75} = 42$
$\Rightarrow x = (\frac{42 \times 7 \times 75}{5 \times 126}) 35 k m / h r$ .

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A car travelling with 57 of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

The correct option is D 35 km/hrTime taken = 1 hr 40 min 48 sec = 1 hr4045min=15175hrs=12675hrs.Let the actual speed be x km/hr.Then, 57x×12675=42⇒x=(42×7×755×126)35km/hr.

A car travelling with $\frac{5}{7}$ of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

The correct option is D 35 km/hr
Time taken = 1 hr 40 min 48 sec = 1 hr $40 \frac{4}{5}$ min= $1 \frac{51}{75}$ hrs= $\frac{126}{75}$ hrs.
Let the actual speed be x km/hr.
Then, $\frac{5}{7} x \times \frac{126}{75} = 42$
$\Rightarrow x = (\frac{42 \times 7 \times 75}{5 \times 126}) 35 k m / h r$ .