Difference between revisions of "2017 AMC 10A Problems/Problem 9"
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Minnie rides on a flat road at 20 kilometers per hour (kph), downhill at 30 kph, and uphill at 5 kph. Penny rides on a flat road at 30 kph, downhill at 40 kph, and uphill at 10 kph. Minnie goes from town A to town B, a distance of 10 km all uphill, then from town B to town C, a distance of 10 km all uphill, then from town B to town C, a distance of 15 km all downhill, and then back to town A, a distance of 20 km on the flat. Pennygoes the other way around using the same route. How many more minutes does it take Minnie to complete the 45-km ride than it takes Penny? | Minnie rides on a flat road at 20 kilometers per hour (kph), downhill at 30 kph, and uphill at 5 kph. Penny rides on a flat road at 30 kph, downhill at 40 kph, and uphill at 10 kph. Minnie goes from town A to town B, a distance of 10 km all uphill, then from town B to town C, a distance of 10 km all uphill, then from town B to town C, a distance of 15 km all downhill, and then back to town A, a distance of 20 km on the flat. Pennygoes the other way around using the same route. How many more minutes does it take Minnie to complete the 45-km ride than it takes Penny? | ||
| − | + | (A) 45 (B) 60 (C) 65 (D) 90 (E) 95 | |
Revision as of 14:24, 8 February 2017
Minnie rides on a flat road at 20 kilometers per hour (kph), downhill at 30 kph, and uphill at 5 kph. Penny rides on a flat road at 30 kph, downhill at 40 kph, and uphill at 10 kph. Minnie goes from town A to town B, a distance of 10 km all uphill, then from town B to town C, a distance of 10 km all uphill, then from town B to town C, a distance of 15 km all downhill, and then back to town A, a distance of 20 km on the flat. Pennygoes the other way around using the same route. How many more minutes does it take Minnie to complete the 45-km ride than it takes Penny?
(A) 45 (B) 60 (C) 65 (D) 90 (E) 95
