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A bus travelling at 96 km/h completes a journey in 16 hours. At what speed will it have to cover the same distance in 8 hours?

A192 km/h

B188 km/h

C193 km/h

D197 km/h

Answer:

A. 192 km/h

Read Explanation:

Finding Distance

The equation for finding distance is:

Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}

Initial speed (S1S_1): 96 km/h96 \text{ km/h}

Initial time (T1T_1): 16 hours16 \text{ hours}

Distance(D)=96 km/h×16 h\text{Distance} (D) = 96 \text{ km/h} \times 16 \text{ h}

Finding the New Speed

Find the speed (S2S_2) required to cover the same distance (D=1536 kmD = 1536 \text{ km}) in 8 hours.

The equation for finding speed is:

Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}}

Distance (DD): 1536 km1536 \text{ km}

New Time (T2T_2): 8 hours8 \text{ hours}

New Speed(S2)=1536 km8 h\text{New Speed} (S_2) = \frac{1536 \text{ km}}{8 \text{ h}}

New Speed(S2)=192 km/h\text{New Speed} (S_2) = \mathbf{192 \text{ km/h}}


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