1.A runs at a speed 1 2/3 times faster than B. If A allows B a head start of 80 meters, what should be the distance to the finish line so that both A and B arrive simultaneously?
2.In a 100-meter sprint, runner A finishes 25 meters ahead of runner B, and runner B finishes 4 meters ahead of runner C. By how many meters does runner A beat runner C in the same race?
3.In an 80-point game, player P can give 16 points to player Q, and player R can give 20 points to player P. How many points can player R give to player Q in a 150-point game?
4.If runner X covers 48 meters while runner Y covers 42 meters in the same time, by how many meters will X win in a 1-kilometer race?
5.In a 300-meter race, runner A finishes 22.5 meters ahead of runner B and beats B by 6 seconds. What is the total time taken by runner B to complete the race?
6.In a billiards match, player A can give player B a 20-point advantage in a 60-point game, and A can also give player C a 30-point advantage in the same 60-point game. How many points can B give C in a 100-point game?
7.In a 1000-meter race, A finishes 100 meters ahead of B. In an 800-meter race, B finishes 100 meters ahead of C. How many meters will A win by against C in a 600-meter race?
8.Runner A completes a 1-kilometer race in 4.5 minutes, whereas runner B finishes the same race in 5 minutes. What distance advantage should A give B at the start so that they both finish simultaneously?
9.In a 1-kilometer race, runner A finishes 50 meters ahead of runner B and beats B by 10 seconds. How long does A take to complete the race?
10.In a 1,000-meter race, runner A can give B a 100-meter head start and C a 200-meter head start. What distance advantage can B provide to C in the same race?