Separately, we have created many pages on the Arithmetics chapter

**Time Speed and Distance**for clear understanding and performance well in competitive exams.**Boats and Streams**is one of the important sub-topic of**Time speed and distance**. We have already discussed the core concept and**shortcuts formula**on this topic in**Boat and Streams shortcuts formula part-1**. Now we are going to solve some**aptitude question**of__Boats and Streams__by using math tricks to save time and score well in our**upcoming competitive exam**. So, look at below, some essential**aptitude question**which followed by the question level of the competitive math section. Especially all the questions are selected from the Boats and Speeds chapter.## Boat and Stream solved math

**Aptitude question1**: A swimmer takes 40 minutes to reach 4 km distance in downstream and 60 minutes to 5 km in upstream. Then, find the rate of the stream and the speed of the swimmer in the still water.

**Easy math solution**: The shortcut formula for the Rate of the stream is (D-U)/ 2, where U is upstream rate and the D is the rates of downstream. Look at the image for easy math solution.

Don't be hopeless to see the solution. You can jump several steps by practice few

**aptitude question**.To get a clear concept, we provide all steps in the solution. Please note that we used the formula to find stream rate as (D-U)/2. Where D is the downstream speed of the swimmer and U is the upstream rate.**Aptitude question 2:**

A ship travelled 80 km in 4 hours in

Solution: The shortcut formula for the rate of the stream is (D-U)/2. Here (D-U)/2 means half of the difference between downstream and upstream rate. To apply this formula we have to find out the **downstream**and came back in 8 hours in**upstream**. Now find the speed of the stream.**upstream and Downstream rate**. Look at below how we quickly solve this aptitude problem.

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