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Answer :
Final answer:
If the man increases his speed from 50 km/hr to 80 km/hr, his travel time to work will decrease from 48 minutes to 30 minutes.
Explanation:
To solve this question, we need to calculate the distance traveled. First, we convert 48 minutes to hours (dividing by 60), getting 0.8 hours. We can then find the distance by multiplying the time (0.8 hours) and the speed (50 km/hr), yielding 40 km. This is the distance to work.
Now we want to find out how long it will take to travel this distance (40 km) at a new speed of 80 km/h. Time is calculated by dividing distance by speed. Hence, 40 km divided by 80 km/hr equals 0.5 hours.
Converting this value from hours to minutes (by multiplying by 60), we get 30 minutes. Therefore, if the man increases his speed to 80km/hr, it will take him 30 minutes to go to work.
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