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The speed of a bus increases by 4 km/h after every two hours. If the bus covers a distance of 80 km I the first two hours, then the total distance cov
Question

The speed of a bus increases by 4 km/h after every two hours. If the bus covers a distance of 80 km I the first two hours, then the total distance covered by the bus in 10 hours will be:

A.

440 km

B.

480 km

C.

460 km

D.

470 km

Correct option is B

Given:

The bus covers 80 km in the first 2 hours.

The speed increases by 4 km/h every 2 hours.

We need to find the total distance covered by the bus in 10 hours.

Solution:

First 2 hours:

Speed = 802\frac{80}{2}​ = 40 km/h

Distance covered = 80 km

Next 2 hours (from 2 to 4 hours):

Speed increases by 4 km/h: 40 + 4 = 44 km/h

Distance covered = 44 × 2 = 88 km

Next 2 hours (from 4 to 6 hours)

Speed increases by 4 km/h: 44 + 4 = 48 km/h

Distance covered = 48 × 2 = 96 km

Next 2 hours (from 6 to 8 hours)

Speed increases by 4 km/h: 48 + 4 = 52 km/h

Distance covered = 52 × 2 = 104 km

Last 2 hours (from 8 to 10 hours)

Speed increases by 4 km/h: 52 + 4 = 56 km/h

Distance covered = 56 × 2 = 112 km

Total Distance Covered:

80 + 88 + 96 + 104 + 112 = 480 km

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