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local time is defined as the particular time of a part of the world.It changes usually. 

standard time is defined as the time that is officially used in a country.It remains same.

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Standard time - 
1. The time of the standard meridian of a country. 
2. Every country has its own particular standard time, and it remains the same for the whole country.
3. Places on the same longitude, can often have varying standard time.

Local time - 
1. Local time refers to time at a particular place, that is the time when the mid day sun is directly over head.
2. Different places in the same country have their own local times.
3. Places on the longitude always have the same local time.
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