Rachel competes in a triathlon in which she has to first swim, then bike, and then run for the same distance. She swims at a rate of 2 kilometres per hour, bikes at a rate of 16 kilometres per hour, and runs at a rate of 8 kilometres per hour. What is her average speed over the entire race?
A grocer purchased 50 kg of wheat at Rs13 per kg and mixed it with 170 kg wheat at Rs16 per kg. At what rate should he sell the mixture (per kg) to gain 16%?
The diagonal of following quadrilateral ABCD is 20 cm long, and length of perpendiculars dropped on diagonal are 10 cm and 10 cm. Find the area of quadrilateral.
A water tank has two types of taps (type-A and type-B). A tap of type-A can fill the tank in 16 minutes, while a tap of type-B can fill the same tank in 8 minutes. If there are 4 type-A taps and 2 type-B taps that can be used to fill the tank, how long will it take to fill an empty tank?
Yoan purchases two tricycles for Rs4130Rs4130 each. He sold these tricycles, losing 7%7% on one and gaining 6%6% on the other. Find his gain or loss percent in the whole transaction.
According to a meteorological report for 700700 consecutive days in a year, its weather forecasts were correct 301301 times.
Out of these days, one day is chosen at random.
What is the probability that the weather forecast was not correct on that day?