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A car travelling at 50 km/h completes a journey in 6 hours. How long will it take to complete the same journey if it travelled at 80 km/h?

Mathematics

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Answer

3.75 hours\text{}3.75 \text{ hours}\text{}

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here is the solution for question 9:

A car travelling at 50 km/hr50 \text{ km/hr} completes a journey in 6 hours6 \text{ hours}. How long will it take to complete the same journey if it travelled at 80 km/hr80 \text{ km/hr}?

This problem involves the relationship between distance, speed, and time, given by the formula: Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}.

  1. Calculate the total distance of the journey.

    Given the initial speed and time:
    Initial Speed (S1S_1) = 50 km/hr50 \text{ km/hr}
    Initial Time (T1T_1) = 6 hours6 \text{ hours}

    Distance(D)=S1×T1\text{Distance} (D) = S_1 \times T_1 D=50 km/hr×6 hoursD = 50 \text{ km/hr} \times 6 \text{ hours} D=300 kmD = 300 \text{ km}

  2. Calculate the time it will take to complete the same journey at the new speed.

    Given the distance (from Step 1) and the new speed:
    Distance (DD) = 300 km300 \text{ km}
    New Speed (S2S_2) = 80 km/hr80 \text{ km/hr}

    New Time(T2)=DS2\text{New Time} (T_2) = \frac{D}{S_2} T2=300 km80 km/hrT_2 = \frac{300 \text{ km}}{80 \text{ km/hr}} T2=308 hoursT_2 = \frac{30}{8} \text{ hours} T2=154 hoursT_2 = \frac{15}{4} \text{ hours} T2=3.75 hoursT_2 = 3.75 \text{ hours}

    It will take 3.75 hours\boxed{\text{}3.75 \text{ hours}\text{}} to complete the journey at 80 km/hr80 \text{ km/hr}.

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