Explanation

A person walks:

- 3 km North

- 4 km East

- 3 km West

Net East-West movement = 4 km East - 3 km West = 1 km East  

North movement = 3 km

Distance from the starting point = √(3² + 1²) = √(9 + 1) = √10 ≈ 3.16 km

So, the person is approximately 3.16 km away from the starting point.

Explanation

Explanation

B covers 28 meters in 7sec. So, B’s time over the course = (7/28)*1000 =250 sec.

Whereas A’s time over the course = 250 -7 = 243 sec.

i.e A’s time over the course is 4min, 3 sec

Explanation

Let's denote Huma's age as x and Ali's age as y.

The given situation translates to:

2x + 3y = 54

This equation directly matches one of the options.

The answer is 2x + 3y = 54.

Explanation

A and B together can complete the work in 3 days, so their combined rate of work is 1/3 per day.

They work together for 2 days, so they complete 2/3 of the work.

B leaves, and A completes the remaining 1/3 of the work in 2 days. This means A's rate of work is 1/6 per day (since A completes 1/3 of the work in 2 days).

Now, we know B's rate of work is the difference between their combined rate and A's rate: (1/3 - 1/6) = 1/6 per day.

Since B can complete the entire work in x days, B's rate of work is also 1/x per day.

Equating the two expressions for B's rate of work, we get: 1/6 = 1/x --> x = 6

So, B alone can complete the work in 6 days.