A can construct a wall in 40 min and B can construct the wall in 45 min. How many hours is needed to contruct a wall if both the person working together.
A
20 min
B
22 min
C
23 min
D
21 min
E
20 min
Correct answer: D
Explanation
A's one minute work = 1/40
B's one minute work = 1/45
(A+B)'s one minute work = 1/40 + 1/45 = 85/40*45 = 17/360
so, (A+B)will do work together in 360/17 min = 21 3/17 minutes
Source: Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.
id aqua_rat:31dec78d366dd4a8d50f598ab3905bb3
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