1.

If average speed of bus for the whole journey is 25 km/hr with 28 km travelled at the speed of 22 km/hr and rest at 35 km/hr, what is the remaining distance covered at the speed of 35 km/hr?1. 160/11 km2. 230/11 km3. 13.36 km4. 140/11 km

Answer» Correct Answer - Option 3 : 13.36 km

Given:

Average speed of bus for the whole journey is 25 km/hr.

28 km are travelled at the speed of 22 km/hr and rest at 35 km/hr.

Concepts used:

Average speed = S1 × S2 × (d1 + d2)/(S1d2 + S2d1)

Calculation:

A bus covered 28 km at the speed of 22 km/hr and rest distance at the speed of 35 km/hr.

Average speed = S1 × S2 × (d1 + d2)/(S1d2 + S2d1)

⇒ 25 km/hr = 22 × 35 × (28 + x)/(22 × x + 35 × 28) km/hr

⇒ 25 = 770 × (28 + x)/(22x + 980) km/hr

⇒ 25 × (22x + 980) = 770 × 28 + 770x

⇒ 25 × 22x + 25 × 980 = 21,560 + 770x

⇒ 550x + 24,500 = 21,560 + 770x

⇒ 770x - 550x = 24,500 - 21,560

⇒ 220x = 2,940

⇒ x = 2,940/220 km

⇒ x = 13.36 km

∴ Remaining distance travelled by bus is equal to 13.36 km. 



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