36S+64U \geq 288 Choo Kheng must travel at least kilometers in a submarine in order to reach her destination. The submarine travels at a constant speed on the water's surface, and travels at a constant speed underwater. In the given inequality, represents the number of hours the submarine can travel on the water's surface and represents the number of hours it can travel underwater in order to reach Choo Kheng's destination. If the submarine travels for hours on the water's surface, what is the least number of hours the submarine must travel underwater in order for Choo Kheng to reach her destination?

Question

36S+64U \geq  288 Choo Kheng must travel at least kilometers in a submarine in order to reach her destination. The submarine travels at a constant speed on the water's surface, and travels at a constant speed underwater. In the given inequality,     represents the number of hours the submarine can travel on the water's surface and represents the number of hours it can travel underwater in order to reach Choo Kheng's destination. If the submarine travels for hours on the water's surface, what is the least number of hours the submarine must travel underwater in order for Choo Kheng to reach her destination?

Bytelearn · Accepted Answer

Understand given inequality: Understand the given inequality and what each variable represents. The inequality 36S + 64U ≥ 288 represents the total distance traveled by the submarine, where S is the number of hours the submarine travels on the water's surface, and U is the number of hours it travels underwater. The submarine must travel at least 288 kilometers to reach the destination.Substitute value for S: Substitute the given value for S into the inequality. We are given that the submarine travels for 4 hours on the water's surface, so S = 4. Substitute this value into the inequality to find U. 36(4) + 64U ≥ 288Perform multiplication to simplify: Perform the multiplication to simplify the inequality. 36(4) = 144, so the inequality becomes: 144 + 64U ≥ 288Subtract 144 to solve: Subtract 144 from both sides of the inequality to solve for U. 64U ≥ 288 - 144 64U ≥ 144Divide by 64 to find: Divide both sides of the inequality by 64 to find the minimum value of U. U ≥ 144 / 64Calculate minimum value: Calculate the minimum value of U. 144 / 64 = 2.25 So, U ≥ 2.25

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