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# Eric plans to compete in a triathlon. He can average 2 miles per hour

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
Eric plans to compete in a triathlon. He can average 2 miles per hour  [#permalink]

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27 Mar 2019, 23:16
00:00

Difficulty:

35% (medium)

Question Stats:

72% (02:33) correct 28% (03:14) wrong based on 46 sessions

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Eric plans to compete in a triathlon. He can average 2 miles per hour in the 1/4-mile swim and 6 miles per hour in the 3-mile run. His goal is to finish the triathlon in 2 hours. To accomplish his goal what must his average speed in miles per hour, be for the 15-mile bicycle ride?

(A) 120/11
(B) 11
(C) 56/5
(D) 45/4
(E) 12

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Joined: 13 Feb 2018
Posts: 450
GMAT 1: 640 Q48 V28
Eric plans to compete in a triathlon. He can average 2 miles per hour  [#permalink]

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27 Mar 2019, 23:54
Main Concept:
If D=Distance; r=rate; t=time
r*t=D

1) Swimming part:
D=$$\frac{1}{4}$$ miles r=2 m/h t=$$\frac{1}{4}$$ /2 =$$\frac{1}{8}$$ hour

2) Running part:
D=3 miles r=6 m/h t=$$\frac{3}{6}$$=$$\frac{1}{2}$$ hour

3) Bicycle part:
D=15 miles t=2-($$\frac{1}{2}$$+$$\frac{1}{8}$$)=$$\frac{11}{8}$$ hour r=15/ $$\frac{11}{8}$$=$$\frac{120}{11}$$

IMO
Ans: A
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Re: Eric plans to compete in a triathlon. He can average 2 miles per hour  [#permalink]

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28 Mar 2019, 03:29
Bunuel wrote:
Eric plans to compete in a triathlon. He can average 2 miles per hour in the 1/4-mile swim and 6 miles per hour in the 3-mile run. His goal is to finish the triathlon in 2 hours. To accomplish his goal what must his average speed in miles per hour, be for the 15-mile bicycle ride?

(A) 120/11
(B) 11
(C) 56/5
(D) 45/4
(E) 12

solve for indvidual events and determine time lapse of each event
event 1 ; time ; 1/4 * 1/2 hrs' 1/8 hrs
event 2; time ; 3/6 ; 1/2 hrs
total time left ; 2-(1/8+1/2); 11/8 hrs
so for 15 mile even he has to have speed of
15 * 8/11 ; 120 /11
IMO A
Re: Eric plans to compete in a triathlon. He can average 2 miles per hour   [#permalink] 28 Mar 2019, 03:29
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# Eric plans to compete in a triathlon. He can average 2 miles per hour

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