General Aptitude › Chain Rule › Question #5583
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QRocky can walk a certain distance in 40 days when he rest 9 hours a day how long will he take to walk twice the distance twice as fast and rest twice as long each day?

ID: #5583 Chain Rule 224 views
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#5583Q ID
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Chain RuleTopic
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  • A 85 ✔ ✖
  • B 90 ✔ ✖
  • C 80 ✔ ✖
  • D 70 ✔ ✖
Correct Answer

Explanation

Solution:

Let the distance in the two cases be y and 2y respectively and the speed be z and 2z respectively.Let the required number of days be x.

more distance,more days(Direct proportional)

More speed ,less days(indirect proportional)

more resting,more days.(Direct proportional)

Distance y:2y::40:x

speed 2z:z::40:x

Resting time 9:18::40:x

y×2z×9x=2yz×18×40

x=2yz×18×40/y×2z×9

x=80

Hence the required number of days=80

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