To determine how long it will take the man to cover 150 km, we can break the problem into two parts: the distance he will cover, and the time it will take him to travel that distance.
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Convert the distance he needs to travel: The total distance he needs to cover is 150 km.
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Calculate the time to travel 150 km at 40 km/h:
- The formula to calculate time is: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
- Plugging in the values: \[ \text{Time} = \frac{150 \text{ km}}{40 \text{ km/h}} = 3.75 \text{ hours} \]
- Converting 3.75 hours into hours and minutes:
- 0.75 hours = 0.75 × 60 minutes = 45 minutes
- So, 3.75 hours = 3 hours and 45 minutes.
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Account for the resting time:
- The man rests for 10 minutes after 30 miles, but this resting time does not affect the 150 km he still needs to travel.
- Therefore, the total time including rest is:
- 3 hours and 45 minutes + 10 minutes = 3 hours and 55 minutes.
Thus, the total time taken for him to cover 150 km, including the rest, is 3 hours and 55 minutes.
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