Multiple choice

A truck covers a distance of $550$ metres in $1$ minute whereas a bus covers a distance of $33$ km in $45$ minutes. What is the ratio of their speeds?

  1. $3 : 4$
  2. $2 : 7$
  3. $5 : 8$
  4. $3 : 8$
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A Correct answer
Explanation

Truck speed = 550 m / 60 s = 55/6 m/s = 55/6 * 18/5 km/hr = 33 km/hr. Bus speed = 33 km / (45/60) hr = 33 * 60/45 = 44 km/hr. The ratio of truck speed to bus speed is 33:44, which simplifies to 3:4.

AI explanation

Convert both speeds to the same units to find their ratio using the formula speed equals distance divided by time. The speed of the truck is 550 metres per 60 seconds, or 33 km/hr, while the speed of the bus is 33 km per 0.75 hours, which equals 44 km/hr. The ratio of their speeds is therefore 33 to 44, which simplifies to 3 to 4. The result is 3 : 4.

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