Question

Calculate the average speed of a bicyclist, if he covers first 5 km with a speed 15km/h and next

5 Km with speed 10 km/h​

Answer 1

Explanation:

Average speed = Total distance travelled/ Total time taken

= 5 + 5 /5/15 +5/10

= 10 /25/30 = 12 km/h

Answer 2

Answer:

The average speed of the bicyclist is 12 km/h.

Explanation:

• The bicyclist covers first 5 km distance with 15 km/h speed.

        Distance = 5 km and speed = 15 km/h

        Time taken = $\frac{distance}{speed}$ = $\frac{5}{15}$ h = $\frac{1}{3}$ h

• The bicyclist covers next 5 km distance with 10 km/h speed.

        Distance = 5 km and speed = 10 km/h

        Time taken = $\frac{distance}{speed}$ = $\frac{5}{10}$ h = $\frac{1}{2}$ h

• Average speed: Total distance covered = 5 + 5 km = 10 km

      Total time taken = $\frac{1}{3}$ + $\frac{1}{2}$ = $\frac{5}{6}$ h

      Average speed = $\frac{total distance}{total time}$ = $\frac{10}{\frac{5}{6}}$ = 10 × $\frac{6}{5}$ = 12 km/h.

    ∴ The average speed of the bicyclist is 12 km/h.

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