Rampual was working for a multinational company. The pressure of work in the company was too heavy due to seasonal sales. Rampaul decided to go weekend trip with his wife for relaxation. Husband and wife decided that the proposed trip should not exceed 8 hours driving in a day. They decided to maintain the average Speed of forward journey to 40 mph. Due to traffic on Sundays the return journey average speed can only be at 30 mph. How far the couple can select a picnic spot?
The forward and return journy speeds are x and y respectively : 2xy / x+y
Then average speed = 2x40x30 / 40+30 = 2400 / 70 = 240 / 7 mph
Total Travel Time is 8 hours. So total distance the couple can plan = Average Speed x Total travel Time = 240 / 7 x 8 =1920 / 7 = 274 miles
274 miles should be the total distance that can be covered including forward and return journeys,the picnic spot has to be at 274 / 2 = 137 miles
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