Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe r.
1 answer:
Answer:
Step-by-step explanation:
Let the speed of Masha = s, speed of Dasha = d
Distance = 20 km Time difference = 20 min = 1/3 hr Speed difference = 2 km/h <u>As per above info we get following equations:</u>
s = d + 2 20/s + 1/3 = 20/d <u>Substitute s and solve for d:</u>
<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>
60d + d(d + 2) = 60(d + 2) 60d + d² + 2d = 60d + 120 d² + 2d = 120 d² + 2d + 1 = 121 (d + 1)² = 11² d + 1 = 11 d = 10 <u>Find s:</u>
<u>The answer is</u>
Masha's speed 12 km/h and Dasha's speed 10 km/h
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