Spare Tyre Problem
Algebra
Level
2
I am travelling in my car to reach the picnic spot, with a spare tyre , such that each tyre can travel a distance of 20 KMs . What is the maximum distance I can travel , by using all the tyres(including the spare tyre) ?
25
20
22.5
27.5
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1 solution
Since each tyre can travel 20kms, the total distance traveled by all tyres combined will be 20x5 = 100kms.
But at one time 4 tyres will be used...hence distance traveled by car is 100/4 = 25kms
Another explanation can be:
Let tyres be named as A, B, C, D, E
First 5kms: ABCD
Next 5: ACDE
Next 5: ABDE
Next 5: ABCE
Next 5: BCDE
This way we notice that all tyres are used up for 20kms each and total distance is 25kms.