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Maths Puzzle
Mr.KING left KINGTOWN by car to attend a wedding at KINGCITY. He had been driving for exactly two hours when the car got punctured. It took his driver exactlyten minutes to change the wheel. In order to play safe they covered the remaining distance at a speed of 30 mph. consequently, Mr.KING was at wedding half an-hour behind schedule. Had the car got the puncture only 30 miles later , I would have been only FIFTEEN minutes late he told the driver . How Far is KINGCITY from KINGTOWN.
Read Solution (Total 3)
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- 120 miles
- 12 years agoHelpfull: Yes(1) No(1)
- If the car had the puncture 30 miles later, He would have saved 15 minutes. Thus he lost half a minute for every mile he covered after the puncture. As they had traveled for 20 additional minutes, they must have had the puncture 40 miles from destination.
As they took two minutes for every mile after the puncture (traveling at a speed of 30 mph), the original speed must have been a mile in every minute and a half, i.e. 40-mph, and so they had traveled 80 miles before the puncture.
so total distance = 120 miles - 12 years agoHelpfull: Yes(1) No(4)
- 120 miles
original speed = 40 mph.
Covered 80 miles in 2 hrs.
balance 40 miles in 40/30 hrs = 4/3 hrs = 1 hr 20 mins
10 min time was wasted for changing wheel.
so late by 1/2 hour. - 12 years agoHelpfull: Yes(0) No(0)
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