Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeRate MeasureMedium2 minQB

MathematicsMediumsingle choice

At 2 PM, one boat leaves a dock due south at 20 km/h. Another boat travels due east at 15 km/h and reaches that dock at 3 PM. When are they closest?

Answer:

Solution:

At $t$ hours after 2 PM, squared separation is $400 t^{2} + 225 (1 - t)^{2}$ . Its derivative vanishes at $t = 9/25$ hour, which is 21 min 36 sec.

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Rate Measure

⏱ 2mℹ️ Source: QB

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