SOLUTION: Albert and Bob ran a race of 440 yards. In the first trial, Albert gave Bob a headstart of 65 yards and won by 20 seconds. In the second trial, Albert gave Bob a headstart of 34 se
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Question 883280: Albert and Bob ran a race of 440 yards. In the first trial, Albert gave Bob a headstart of 65 yards and won by 20 seconds. In the second trial, Albert gave Bob a headstart of 34 seconds and Bob won by 8 yards. Find the speeds of Albert and Bob in yards per second.
You can put this solution on YOUR website! Albert and Bob ran a race of 440 yards.
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Let a = A's speed
Let b = B's speed
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In the first trial, Albert gave Bob a headstart of 65 yards and won by 20 seconds.
Write at time equation; time = dist/speed
B only ran 440 - 65 = 375 yds
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b's time - a's time = 20 sec - = 20
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In the second trial, Albert gave Bob a headstart of 34 seconds and Bob won by 8 yards.
B ran 440 - 8 = 432 yrds - = 34
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We can use elimination here - = 34 - = 20
--------------Subtraction eliminates a, find b = 14
b =
b = 4.07 yds/sec is B's running speed
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Find a - = 34
106.14 - = 34 = 34 - 106.14 = 72.14
a =
a = 6.1 yds/sec is A's running speed
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:
See if this works - = 20
92 - 72 = 20
