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QA guy travels from A to B at 20 kmph and then returns to A at 30 kmph. What was his average speed throughout the journey?

ID: #4662 Time and Distance 154 views
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#4662Q ID
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Time and DistanceTopic
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  • A 20 kmph ✔ ✖
  • B 24 kmph ✔ ✖
  • C 28 kmph ✔ ✖
  • D 32 kmph ✔ ✖
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Explanation


The distance from A to B is given as d km.

The average speed is calculated using the formula average speed = total distance traveled / total time taken.

The total distance traveled is given as 2d km, which is the distance from A to B plus the distance from B to A.

The total time taken is calculated by adding the time taken to travel from A to B to the time taken to travel from B to A. 

The time taken to travel from A to B is given as d/20 hours, and the time taken to travel from B to A is given as d/30 hours.

Plugging the values for total distance traveled and total time taken into the formula for average speed, 

we get average speed = (2d km) / [(d/20 hours) + (d/30 hours)].

Simplifying the expression for total time taken, we get average speed = (2d km) / [5d/60 hours].

Finally, we can solve for the average speed by dividing both sides of the equation by 5d/60 hours, 

which gives us average speed = (2d km) / (5d/60 hours) = 24 km/hr
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