Multiple choice

A car travelling with $\displaystyle \dfrac{5}{7} $ of its usual speed covers $42$ km in $1$ hour $40$ min $48$ sec. What is the usual speed of the car?

  1. $\displaystyle 17 \dfrac{6}{7}$ km/hr
  2. $25$ km/hr
  3. $30$ km/hr
  4. $35$ km/hr
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Time = 1h 40m 48s = 1 + 40/60 + 48/3600 = 1 + 2/3 + 2/150 = 1 + 100/150 + 2/150 = 1 + 102/150 = 1.68 hours. Speed = Distance / Time = 42 / 1.68 = 25 km/hr. This is 5/7 of the usual speed. Usual speed = 25 * 7/5 = 35 km/hr.

AI explanation

First, convert the travel time of 1 hour 40 minutes 48 seconds into hours, which is exactly 1.68 hours. The actual speed of the car during this trip is 42 km divided by 1.68 hours, yielding 25 km/hr. Since this 25 km/hr is 5/7 of the usual speed, the usual speed is 25 multiplied by 7/5, giving 35 km/hr. The result is 35 km/hr.