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Phil is making a 40-kilometer canoe trip. If he travels at 30 kilomete

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Phil is making a 40-kilometer canoe trip. If he travels at 30 kilomete  [#permalink]

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New post 07 Aug 2018, 04:10
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Phil is making a 40-kilometer canoe trip. If he travels at 30 kilometers per hour for the first 10 kilometers, and then at 15 kilometers per hour for the rest of the trip, how many minutes longer will it take him than if he makes the entire trip at 20 kilometers per hour?


A. 15

B. 20

C. 35

D. 45

E. 50

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Re: Phil is making a 40-kilometer canoe trip. If he travels at 30 kilomete  [#permalink]

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New post 07 Aug 2018, 05:40
1 case:
He traveled 20 km/h for 40km --> 40/20=2h

2 case:
10km for 30km/h=20 minutes
30km for 15km/h=2 h

20 minutes longer

IMO
Ans: B
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Re: Phil is making a 40-kilometer canoe trip. If he travels at 30 kilomete  [#permalink]

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New post 07 Aug 2018, 07:20
Bunuel wrote:
Phil is making a 40-kilometer canoe trip. If he travels at 30 kilometers per hour for the first 10 kilometers, and then at 15 kilometers per hour for the rest of the trip, how many minutes longer will it take him than if he makes the entire trip at 20 kilometers per hour?


A. 15

B. 20

C. 35

D. 45

E. 50

Original Time Taken is \(\frac{10}{30} + \frac{30}{15}\) = \(2\frac{1}{3}\) Hours

Again we have Time Taken is \(\frac{40}{20}\) = \(2\) Hours


Difference in time taken is \(\frac{1}{3}\) Hours or \(20\) Minutes, Answer must be (B)
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Phil is making a 40-kilometer canoe trip. If he travels at 30 kilomete  [#permalink]

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New post 07 Aug 2018, 12:27
Bunuel wrote:
Phil is making a 40-kilometer canoe trip. If he travels at 30 kilometers per hour for the first 10 kilometers, and then at 15 kilometers per hour for the rest of the trip, how many minutes longer will it take him than if he makes the entire trip at 20 kilometers per hour?


A. 15

B. 20

C. 35

D. 45

E. 50

Actual trip, time?
Leg 1, D = 10 km and r = 30 kmh
Leg 2, D: (40-10) = 30 km and r = 15 kmh

Leg 1 time, \(t=\frac{D}{r}=\frac{10km}{30kmh}=\frac{1}{3}\) hour

Leg 2 time, \(t=\frac{30km}{15kmh}=2\) hours

Total time: \(\frac{1}{3}+2=2\frac{1}{3}\) hours

Travel at 20 kmh, time?
Time \(t=\frac{40km}{20kmh}=2\) hours

Time difference?
\((2\frac{1}{3}hrs-2hrs)=\frac{1}{3}\) hour

In minutes? Multiply any fraction of an hour by 60 to get minutes*

\(\frac{1}{3}*60=20\) minutes

ANSWER B

*Just a conversion shortcut: \(\frac{1}{3}hr*\frac{60mins}{1hr}=20\) minutes because hours cancel
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Phil is making a 40-kilometer canoe trip. If he travels at 30 kilomete   [#permalink] 07 Aug 2018, 12:27
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