20 x 20 y 1 1 40 x 10 y 1 2 40 x 40 y 2 40 x 10 y 1 Adding them up 30 y 1 30 y

20 x 20 y 1 1 40 x 10 y 1 2 40 x 40 y 2 40 x 10 y 1

This preview shows page 62 - 71 out of 160 pages.

20 x + 20 y = 1 (1) 40 x + 10 y = 1 (2) - 40 x - 40 y = - 2 40 x + 10 y = 1 Adding them up: - 30 y = - 1 30 = y Substitute y = 30 into (1): 20 x + 20 30 = 1 20 x = 1 - 2 3 20 x = 1 3
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20 x + 20 y = 1 (1) 40 x + 10 y = 1 (2) - 40 x - 40 y = - 2 40 x + 10 y = 1 Adding them up: - 30 y = - 1 30 = y Substitute y = 30 into (1): 20 x + 20 30 = 1 20 x = 1 - 2 3 20 x = 1 3 x = 60
Image of page 63
20 x + 20 y = 1 (1) 40 x + 10 y = 1 (2) - 40 x - 40 y = - 2 40 x + 10 y = 1 Adding them up: - 30 y = - 1 30 = y Substitute y = 30 into (1): 20 x + 20 30 = 1 20 x = 1 - 2 3 20 x = 1 3 x = 60 Hence, Pipe 1 can finish filling the pool alone in 60 minutes while Pipe 2 can do it in 30 minutes.
Image of page 64
When Usain Bolt ran 9.68 seconds in the final event of the 100 m dash at a track meet, it was found out that he ran in the wind’s direction. Minutes earlier, in the 100 m dash eliminations, he ran directy against the wind and clocked 9.82 seconds. If the wind had a constant speed, what is Usain Bolt’s average speed?
Image of page 65
When Usain Bolt ran 9.68 seconds in the final event of the 100 m dash at a track meet, it was found out that he ran in the wind’s direction. Minutes earlier, in the 100 m dash eliminations, he ran directy against the wind and clocked 9.82 seconds. If the wind had a constant speed, what is Usain Bolt’s average speed? Solution: Let x be his speed, y be the wind’s speed
Image of page 66
When Usain Bolt ran 9.68 seconds in the final event of the 100 m dash at a track meet, it was found out that he ran in the wind’s direction . Minutes earlier, in the 100 m dash eliminations, he ran directy against the wind and clocked 9.82 seconds. If the wind had a constant speed, what is Usain Bolt’s average speed? Solution: Let x be his speed, y be the wind’s speed x + y = 100 9 . 68
Image of page 67
When Usain Bolt ran 9.68 seconds in the final event of the 100 m dash at a track meet, it was found out that he ran in the wind’s direction. Minutes earlier, in the 100 m dash eliminations, he ran directy against the wind and clocked 9.82 seconds . If the wind had a constant speed, what is Usain Bolt’s average speed? Solution: Let x be his speed, y be the wind’s speed x + y = 100 9 . 68 x - y = 100 9 . 82
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When Usain Bolt ran 9.68 seconds in the final event of the 100 m dash at a track meet, it was found out that he ran in the wind’s direction. Minutes earlier, in the 100 m dash eliminations, he ran directy against the wind and clocked 9.82 seconds. If the wind had a constant speed, what is Usain Bolt’s average speed? Solution: Let x be his speed, y be the wind’s speed x + y = 100 9 . 68 x - y = 100 9 . 82 Adding the two equations: 2 x = 100 9 . 68 + 100 9 . 82
Image of page 69
When Usain Bolt ran 9.68 seconds in the final event of the 100 m dash at a track meet, it was found out that he ran in the wind’s direction. Minutes earlier, in the 100 m dash eliminations, he ran directy against the wind and clocked 9.82 seconds. If the wind had a constant speed, what is Usain Bolt’s average speed?
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