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A
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A man drove his automobile \(d_1\) kilometers at the rate of \(r_1\) kilometers per hour and an additional \(d_2\) kilometers at the rate of \(r_2\) kilometers per hour. In terms of \(d_1\), \(d_2\), \(r_1\), and \(r_2\), what was his average speed, in kilometers per hour, for the entire trip?
(A) \(\frac{d_1+d_2}{\frac{d_1}{r_1}+ \frac{d_2}{r_2}}\)
(B) \(\frac{d_1+d_2}{r_1+r_2}\)
(C) \(\frac{\frac{d_1+d_2}{r_1+r_2}}{d_1+d_2}\)
(D) \(\frac{\frac{d_1}{r_1} + \frac{d_2}{r_2}}{d_1+d_2}\)
(E) It cannot be determined from the information given.
(A) \(\frac{d_1+d_2}{\frac{d_1}{r_1}+ \frac{d_2}{r_2}}\)
(B) \(\frac{d_1+d_2}{r_1+r_2}\)
(C) \(\frac{\frac{d_1+d_2}{r_1+r_2}}{d_1+d_2}\)
(D) \(\frac{\frac{d_1}{r_1} + \frac{d_2}{r_2}}{d_1+d_2}\)
(E) It cannot be determined from the information given.
11 Nov 2018, 10:00
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t1 = d1/r1
t2 = d2/r2
Total distance = d1 + d2
Total time = (d1/r1) + (d2/r2)
Hence average speed = (d1+d2)/[(d1/r1) + (d2/r2)]
Hence Option A
Can also be solved by plugging in numbers!
t2 = d2/r2
Total distance = d1 + d2
Total time = (d1/r1) + (d2/r2)
Hence average speed = (d1+d2)/[(d1/r1) + (d2/r2)]
Hence Option A
Can also be solved by plugging in numbers!
16 Feb 2020, 00:47
Kudos
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Avg Speed = Total Distance covered/Time
Total Distance = d1 + d2
Total time = distance / speed
Total time = d1/r1 + d/r2
Avg Speed = (d1 + d2) / (d1/r1) + (d2/r2)
Option A
Total Distance = d1 + d2
Total time = distance / speed
Total time = d1/r1 + d/r2
Avg Speed = (d1 + d2) / (d1/r1) + (d2/r2)
Option A
