GATE CE 2017 Set 2 — Question 64
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
Budhan covers a distance of 19 km in 2 hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for half the time and walks the rest (at the same speed as before) and covers 26 km in 2 hours. The speed in km/h at which Budhan walks is
Correct answer
(D) 6
Solution
Let be the cycling speed and be the walking speed in km/h.Day 1:
Total time hours.
Cycling time hours.
Walking time hours.
Distance covered: --- (Eq. 1)Day 2:
Cycling time hour.
Walking time hour.
Distance covered: --- (Eq. 2)From Eq. 2, we have . Substituting this into Eq. 1:
km/h.Thus, the walking speed is 6 km/h.
Total time hours.
Cycling time hours.
Walking time hours.
Distance covered: --- (Eq. 1)Day 2:
Cycling time hour.
Walking time hour.
Distance covered: --- (Eq. 2)From Eq. 2, we have . Substituting this into Eq. 1:
km/h.Thus, the walking speed is 6 km/h.
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