Two ships A and B are sailing straight away from a fixed point O along routes such that $∠ A O B$ is always $120^{o}$ . At a certain instance, OA = 8 km, OB = 6km and the ship A is sailing at the rate of 20 km/hr while the ship B sailing at the rate of 30 km/hr. Then the distance between A and B is changing at the rate (in km/hr)

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

260/37

$\frac{80}{\sqrt{37}}$

$\frac{260}{\sqrt{37}}$

80/37

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$x = 8 y = 6 s^{2} = x^{2} + y^{2} - 2 xy \times \frac{- 1}{2} s^{2} = x^{2} + y^{2} + xy = 64 + 36 + 48 = 148 s = 2 \sqrt{37}$

$2 s \frac{ds}{dt} = 2 x \frac{dx}{dt} + 2 y \frac{dy}{dt} + x \frac{dy}{dt} + y \frac{dx}{dt} 4 \sqrt{37} \frac{ds}{dt} = 16 \times 20 + 12 \times 30 + 8 \times 30 + 6 \times 20 \frac{ds}{dt} = \frac{260}{\sqrt{37}}$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th