For the following questions answer them individually
A boat running upstream takes 10 hours to cover a certain distance, while it takes 7Â hours to cover the same distance running downstream. What is the ratio between the speed of the boat and that of the water current, respectively?
Rice worth ₹35 per kilogram and ₹38 per kilogram are mixed with a third variety in the ratio 2 : 1 : 2. If the mixture is worth ₹42 per kilogram, the price of the third variety per kilogram is:
Two circles touch each other externally. The radius of the first circle with centre O is 6 cm. The radius of the second circle with centre P is 3 cm. Find the length of their common tangent AB.
What is the value of $$5\sqrt{3} \cos 60^{\circ} \tan 30^{\circ} - 3 \cos 0^{\circ} + 3\cos^{2} 45^{\circ} + 2 \sin^{2} 60^{\circ}$$?
The effective speed of a boat is 15.2 km/h against the stream and 20.8 km/h along the stream. Find the speed of the stream.
2 men can finish a work in 6 days and 3 women can finish the same work in 4 days. In how many days will the work be finished by 1 man and 2 women, working together every day?