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Question
A car travelling with $5/7$ of its usual speed covers 42 km in 1 hour 40 min 48 sec. What is the usual speed of the car?
Options:
A .  30 km/hr
B .  25 km/hr
C .  35 km/hr
D .  17$6/7$ km/hr
Answer: Option C
Answer: (c)1 hr 40 min 48 sec= 1 hr $(40 + 48/60)$ min= 1 hr $(40 + 4/5)$ min= 1 hr $204/5$ min= $(1 + 204/300)$ hr = $504/300$ hrSpeed = $42/{504/300}$ = 25 kmphNow, $5/7$ usual speed = 25Usual speed = ${25 × 7}/5$ = 35 kmph

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