ankithakkar7
Jan and Mark are competing in an off-road race. Jan completes 3/4 of race in 2 hours. Mark completes 2/3 of the race in 5/8 of the time it takes Jan to complete 9/10 of the race. What is the ratio of their speeds? A. 1:2 B. 5:6 C. 19: 31 D. 27:32 E. 43: 51
Assuming constant speed
and taking distance as same for both .
Speed1:speed2 = time2:time1 (1,2 correspond to Jan and Mark)
Taking distance as d;
Speed1=(3d/4)/2 = 3d/8.
Time it takes Jan to complete 9d/10 is (9d/10)/(3d/8)=12/5.
And Mark takes 5/8 of it. i.e (12/5)5/8=3/2
Now Speed2 = (2d/3)/(3/2) = 4d/9.
S1:S2=(3d/8)(4d/9)
Ans D
ignore this line "Speed1:speed2 = time2:time1 (1,2 correspond to Jan and Mark)"