A car travels 60 km at 30km/h and then a further 180 km at 60 km/h. Find:

(a) The total time taken.

(b) The average speed of the whole journey.

(a) 5 hours

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(a) 4 hours

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(b) 45 km/h

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(b) 48 km/h

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Solution

The correct options are A (a) 5 hours
D (b) 48 km/h

(a) As we know that $T i m e = \frac{D i s t a n c e}{S p e e d}$

1st leg of the journey: Distance = 60 km, Speed = 30 km/h

Time taken to cover the 1st leg of the journey = $\frac{60}{30}$ = 2 hours

2nd leg of the journey: Distance = 180 km, speed = 60km/h

Time taken to cover the 2nd leg of the journey = $\frac{180}{60}$ = 3 hours

Time taken to cover the entire journey = 2 + 3 = 5 hours

(b) Average speed for the whole journey = $\frac{T o t a l d i s t a n c e}{t o t a l T i m e}$ = $\frac{60 + 180}{5} = \frac{240}{5}$ = 48 km/h

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A car travels 60 km at 30km/h and then a further 180 km at 60 km/h. Find: (a) The total time taken. (b) The average speed of the whole journey.

A car travels 60 km at 30km/h and then a further 180 km at 60 km/h. Find:

(a) The total time taken.

(b) The average speed of the whole journey.